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1073093920 = 25555712041
BaseRepresentation
bin111111111101100…
…001110100100000
32202210012211010021
4333331201310200
54144203001140
6254252043224
735410101463
oct7775416440
92683184107
101073093920
11500808388
1225b463514
13141420022
14a27372da
156431db4a
hex3ff61d20

1073093920 has 48 divisors (see below), whose sum is σ = 2539946808. Its totient is φ = 428431360.

The previous prime is 1073093899. The next prime is 1073093933. The reversal of 1073093920 is 293903701.

It can be written as a sum of positive squares in 4 ways, for example, as 692531856 + 380562064 = 26316^2 + 19508^2 .

It is a super-2 number, since 2×10730939202 = 2303061122281932800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83100 + ... + 95140.

Almost surely, 21073093920 is an apocalyptic number.

1073093920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1073093920 is an abundant number, since it is smaller than the sum of its proper divisors (1466852888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1073093920 is a wasteful number, since it uses less digits than its factorization.

1073093920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12613 (or 12605 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 34.

The square root of 1073093920 is about 32758.1122777244. The cubic root of 1073093920 is about 1023.7939954248.

The spelling of 1073093920 in words is "one billion, seventy-three million, ninety-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 557 1114 2228 2785 4456 5570 8912 11140 12041 17824 22280 24082 44560 48164 60205 89120 96328 120410 192656 240820 385312 481640 963280 1926560 6706837 13413674 26827348 33534185 53654696 67068370 107309392 134136740 214618784 268273480 536546960 1073093920